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Decompositions of looped co-H-spaces

Decompositions of looped co-H-spaces
Decompositions of looped co-H-spaces
We prove two homotopy decomposition theorems for the loops on simply-connected co-H-spaces, including a generalization of the Hilton-Milnor Theorem. Several examples are given.
homotopy decomposition, loop space, co-h-space
0002-9939
1451-1464
Grbić, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Theriault, S.
5e442ce4-8941-41b3-95f1-5e7562fdef80
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Grbić, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Theriault, S.
5e442ce4-8941-41b3-95f1-5e7562fdef80
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501

Grbić, Jelena, Theriault, S. and Wu, J. (2012) Decompositions of looped co-H-spaces. Proceedings of the American Mathematical Society, 141, 1451-1464. (doi:10.1090/S0002-9939-2012-11417-0).

Record type: Article

Abstract

We prove two homotopy decomposition theorems for the loops on simply-connected co-H-spaces, including a generalization of the Hilton-Milnor Theorem. Several examples are given.

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More information

e-pub ahead of print date: 14 September 2012
Keywords: homotopy decomposition, loop space, co-h-space
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 341215
URI: http://eprints.soton.ac.uk/id/eprint/341215
ISSN: 0002-9939
PURE UUID: 09949d60-b78d-47c9-b128-a174b2666f6c
ORCID for Jelena Grbić: ORCID iD orcid.org/0000-0002-7164-540X
ORCID for S. Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 18 Jul 2012 13:09
Last modified: 15 Mar 2024 03:45

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Contributors

Author: Jelena Grbić ORCID iD
Author: S. Theriault ORCID iD
Author: J. Wu

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